Do I Have Lazy Eye? How Can This Be Fixed?

You have left upper eyelid ptosis.  It may also correlate with bony facial asymmetry, with left side of your face being smaller than the right side (although hard to to tell from your cropped photo).  There are surgical options to improve the symmetry of the eyelids.  Consult an oculoplastic surgeon.

Dr Taban

As Dr. Steinsapir has mentioned, you have mild left upper eyelid ptosis. In addition, you have mild brow asymmetry, with the left side being lower. It is not unusual for patients to have a degree of right/left asymmetry, and I would suspect that there is an underlying bony asymmetry as well.

ASOPRS. org is a great site for additional information.

Lazy eye is a lay term for amblyopia.  The lack of visual development in one of the eyes from infancy results in the eye turning in or out.  Treatment for amblyopia is early childhood patching and when necessary eye muscle surgery to correct eye alignment.  This is not what you appear to have.  What you have going on is upper eyelid ptosis of the left eye.  Consider seeing an oculoplastic surgeon for this condition.  Kevin Perlman, M.D. in Washington DC would an excellent choice.  The American Society for Ophthalmic Plastic and Reconstructive Surgery maintains a geographic directory that can also help you find a well qualified surgeon ( ASOPRS dot org).

A lazy eye can be fixed with surgery and that will also help to affect the problem.  Often surgery on the eye will cause the eyebrow to drop so it will become more even.  But it is best to see an oculofacial plastic surgeon for this type of procedure. 

As you correctly stated, your left eye is smaller then your right eye, and your left eyebrow is lower then your right eyebrow.  If it bothers you, you should see an Oculoplastic surgeon to consider you treatment options.